If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?
(A) -3 and 10
(B) -3 and 4
(C) 2 and 7
(D) 3 and 4
(E) 3 and 10
OA A
Source: Official Guide
If x + 5 > 2 and x - 3 < 7, the value of x must be bet
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GIVEN: x + 5 > 2BTGmoderatorDC wrote:If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?
(A) -3 and 10
(B) -3 and 4
(C) 2 and 7
(D) 3 and 4
(E) 3 and 10
OA A
Source: Official Guide
Subtract 5 from both sides of the inequality to get: x > -3
Or we can write this as -3 < x
GIVEN: x - 3 < 7
Add 3 to both sides of the inequality to get: x < 10
COMBINE the inequalities to get: -3 < x < 10
Answer: A
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Let's isolate x in each inequality.BTGmoderatorDC wrote:If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?
(A) -3 and 10
(B) -3 and 4
(C) 2 and 7
(D) 3 and 4
(E) 3 and 10
x + 5 > 2
x > -3
Next we simplify x - 3 < 7.
x - 3 < 7
x < 10
We know that x is greater than -3 and less than 10.
Answer: A
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